2132822016 has 480 divisors, whose sum is σ = 7325398080. Its totient is φ = 613122048.

The previous prime is 2132821997. The next prime is 2132822017. The reversal of 2132822016 is 6102282312.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2132822017) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49600491 + ... + 49600533.

It is an arithmetic number, because the mean of its divisors is an integer number (15261246).

Almost surely, 2^2132822016 is an apocalyptic number.

2132822016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132822016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662699040).

2132822016 is an abundant number, since it is smaller than the sum of its proper divisors (5192576064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2132822016 is a wasteful number, since it uses less digits than its factorization.

2132822016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2132822016 is about 46182.4860309620. The cubic root of 2132822016 is about 1287.2163230359.

The spelling of 2132822016 in words is "two billion, one hundred thirty-two million, eight hundred twenty-two thousand, sixteen".